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All results from a given calculation for H2SO4 (Sulfuric acid)

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-699.830315
Energy at 298.15K-699.834070
Nuclear repulsion energy260.079057
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3598 3406 47.20      
2 A 1136 1075 43.73      
3 A 896 848 120.43      
4 A 649 614 64.81      
5 A 370 350 50.91      
6 A 293 278 43.98      
7 A 228 216 0.19      
8 A 152 144 127.80      
9 B 3594 3403 171.27      
10 B 1217 1152 83.56      
11 B 992 939 59.20      
12 B 715 677 221.78      
13 B 350 331 25.49      
14 B 330 312 62.94      
15 B 191 181 98.14      

Unscaled Zero Point Vibrational Energy (zpe) 7354.9 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 6962.1 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G
ABC
0.13710 0.13257 0.12971

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.179
O2 0.000 1.416 0.921
O3 0.000 -1.416 0.921
O4 1.355 -0.025 -0.961
O5 -1.355 0.025 -0.961
H6 -1.646 -0.906 -1.107
H7 1.646 0.906 -1.107

Atom - Atom Distances (Å)
  S1 O2 O3 O4 O5 H6 H7
S11.59851.59851.77031.77032.27632.2763
O21.59852.83172.72942.70363.49432.6604
O31.59852.83172.70362.72942.66043.4943
O41.77032.72942.70362.70983.13050.9862
O51.77032.70362.72942.70980.98623.1305
H62.27633.49432.66043.13050.98623.7572
H72.27632.66043.49430.98623.13053.7572

picture of Sulfuric acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
S1 O4 H7 107.931 S1 O5 H6 107.931
O2 S1 O3 124.687 O2 S1 O4 108.127
O2 S1 O5 106.640 O3 S1 O4 106.640
O3 S1 O5 108.127 O4 S1 O5 99.880
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S 1.434      
2 O -0.526      
3 O -0.526      
4 O -0.623      
5 O -0.623      
6 H 0.433      
7 H 0.433      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -2.548 2.548
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.845 7.362 0.000
y 7.362 -39.042 0.000
z 0.000 0.000 -37.894
Traceless
 xyz
x 5.623 7.362 0.000
y 7.362 -3.673 0.000
z 0.000 0.000 -1.950
Polar
3z2-r2-3.901
x2-y26.198
xy7.362
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.978 0.438 0.000
y 0.438 5.790 0.000
z 0.000 0.000 4.910


<r2> (average value of r2) Å2
<r2> 122.647
(<r2>)1/2 11.075